de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial x)(5x^3y+3sin(xy))

Lösung

\frac{\partial}{\partial x} (5 x^{3} y + 3 sin (x y))

Lösung

15 y x^{2} + 3 cos (x y) y

Schritte zur Lösung

\frac{\partial}{\partial x} (5 x^{3} y + 3 sin (x y))

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (5 x^{3} y) + \frac{\partial}{\partial x} (3 sin (x y))

\frac{\partial}{\partial x} (5 x^{3} y) = 15 y x^{2}

\frac{\partial}{\partial x} (3 sin (x y)) = 3 cos (x y) y

= 15 y x^{2} + 3 cos (x y) y

Beliebte Beispiele

integral of (2^x-2)^2

\int (2^{x} - 2)^{2} d x

integral of x*cos(x^2+1)

\int x \cdot cos (x^{2} + 1) d x

integral of (3x-1)/(4x^2-4x+17)

\int \frac{3 x - 1}{4 x ^{2} - 4 x + 17} d x

integral of-x^{-3}

\int - x^{- 3} d x

limit as x approaches 1+of x-2

x \to 1 + lim (x - 2)